Google Map API - Tutorial

Hello, I am new to Xamarin and wanted to make a Google Map application with android. I followed step by step the tutorial found here: http://docs.xamarin.com/guides/android/platform_features/maps_and_location/maps/part_2_-_maps_api/

and I still end up with the same problem.

The application will not load. Actualy, it crash at the very moment I try to load the layout and I get this error:

Android.Views.InflateException: Binary XML file line #1: Error inflating class fragment

Here is the code

    using System;
    using Android.App;
    using Android.Content;
    using Android.Runtime;
    using Android.Views;
    using Android.Widget;
    using Android.OS;
    using Android.Gms.Maps;

    namespace NewMapApp
    {
        [Activity (Label = "NewMapApp", MainLauncher = true)]
        public class MainActivity : Activity
        {
            protected override void OnCreate (Bundle bundle)
            {
                base.OnCreate (bundle);

                // I GET MY ERROR HERE
                SetContentView (Resource.Layout.Main);
            }
        }
    }

This is my layout

<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
    android:orientation="vertical"
    android:layout_width="fill_parent"
    android:layout_height="fill_parent">
    <fragment 
        android:id="@+id/map"
        android:layout_width="match_parent"
        android:layout_height="match_parent"
        class="com.google.android.gms.maps.MapFragment" />
</LinearLayout>

I have done some research and found someone that had pretty much the same problem: http://stackoverflow.com/questions/20381736/error-inflating-class-fragment-error-when-following-maps-api-tutorial

From what he said, his problem was that the application was missing some permissions and that he had to provide the Google Play Services version as a meta-data node. That didn't fix it for me though. Here is my android manifest file:

<?xml version="1.0" encoding="utf-8"?>
<manifest xmlns:android="http://schemas.android.com/apk/res/android" android:versionCode="1" android:versionName="1.0" package="NewMapApp.NewMapApp">
    <uses-sdk />
    <application android:label="NewMapApp" android:icon="@drawable/icon">
        <meta-data android:name="com.google.android.gms.version" android:value="@integer/google_play_services_version" />
    </application>
    <uses-permission android:name="android.permission.INTERNET" />
    <uses-permission android:name="com.google.android.providers.gsf.permission.READ_GSERVICES" />
    <uses-permission android:name="android.permission.WRITE_EXTERNAL_STORAGE" />
    <uses-permission android:name="android.permission.ACCESS_NETWORK_STATE" />
    <uses-permission android:name="android.permission.ACCESS_COARSE_LOCATION" />
    <uses-permission android:name="android.permission.ACCESS_FINE_LOCATION" />
</manifest>

Thanks a lot for your help!